Presentation 2020-03-01
On Approximation Algorithms for Power Vertex Cover Problem
Takumi Tatematsu, Tetsuro Rintani, Toshihiro Fujito,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We present two 2-approximation algorithms for Power Vertex Cover problem, which is a generalization ofthe Vertex Cover problem. Given in Power Vertex Cover is a graph G = (V,E) with “edge” weights w(e), and an edge e = {u, v} is covered only if power p ∈ R ^V_+ assigned on the vertices satisfy either p(u) ? w(e) or p(v) ? w(e). We aim to find a power assignment of minimum sum that covers all edges in G. Clearly, Vertex Cover corresponds to Power Vertex Cover when all edge weights are equal to 1. In this paper, we present two 2-approximation algorithms for this problem, one designed based on LP rounding and the other based on the local ratio theorem.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Vertex Cover Problem / Graph Theory / Approximation Algorithms
Paper # COMP2019-50
Date of Issue 2020-02-23 (COMP)

Conference Information
Committee COMP
Conference Date 2020/3/1(1days)
Place (in Japanese) (See Japanese page)
Place (in English) The University of Electro-Communications
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Toshihiro Fujito(Toyohashi Univ. of Tech.)
Vice Chair Shinichi Nakano(Gunma Univ.)
Secretary Shinichi Nakano(Kumamoto Univ)
Assistant Kazuhisa Seto(Seikei Univ.)

Paper Information
Registration To Technical Committee on Theoretical Foundations of Computing
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On Approximation Algorithms for Power Vertex Cover Problem
Sub Title (in English)
Keyword(1) Vertex Cover Problem
Keyword(2) Graph Theory
Keyword(3) Approximation Algorithms
1st Author's Name Takumi Tatematsu
1st Author's Affiliation Toyohashi University of Technology(TUT)
2nd Author's Name Tetsuro Rintani
2nd Author's Affiliation Toyohashi University of Technology(TUT)
3rd Author's Name Toshihiro Fujito
3rd Author's Affiliation Toyohashi University of Technology(TUT)
Date 2020-03-01
Paper # COMP2019-50
Volume (vol) vol.119
Number (no) COMP-433
Page pp.pp.29-33(COMP),
#Pages 5
Date of Issue 2020-02-23 (COMP)